# By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%.

Question:

By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?

Solution:

Let the cost price of the pair of earrings be Rs. $\mathrm{x}$.

Profit $=16 \%$

Therefore, $\mathrm{SP}=\left(\frac{\text { Profit } \%+100}{100}\right) \times \mathrm{CP}$

$=\left(\frac{16+100}{100}\right) \mathrm{x}$

$=R s . \frac{116 \mathrm{x}}{100}$

$\mathrm{SP}-\mathrm{CP}=48$

$\Rightarrow \frac{116 \mathrm{x}}{100}-\mathrm{x}=48$

$\Rightarrow 16 \mathrm{x}=4800$

$\Rightarrow \mathrm{x}=$ Rs. 300

$\mathrm{SP}=\frac{116 \mathrm{x}}{100}=$ Rs. 348

$\mathrm{MP}=\frac{100 \times \mathrm{SP}}{100-\text { Discount } \%}$

$=\frac{34800}{75}=$ Rs. 464

Thus, CP of the pair of earrings $=$ Rs. $\mathrm{x}=$ Rs. 300

SP of the pair of earrings $=$ Rs. 348

MP of the pair of earrings $=$ Rs. 464